Forty Files Before Nine
Suresh, 34, runs a photocopy and stationery shop in Jhansi. On the morning of 14 February he must deliver 40 spiral-bound project files to two schools before the 9 a.m. practical examination: one school is 1.5 km east, the other 3 km west. At 6.40 a.m. his cycle tyre is punctured and his only helper has not arrived. Available to him are a handcart borrowed from the vegetable seller next door, 12 metres of nylon rope, a wooden crate he has always used for stacking A4 reams, two empty jute sacks, and a neighbour who can lend a scooter for exactly one trip. He spends 25 minutes trying to balance the files on the cycle carrier as he always does, although the tyre is flat. After two failed attempts he says, 'The cart is for vegetables; it will soil the files.' He decides to serve the west school last because 'the east school teacher was rude to me last time', and he is certain the west school gate opens only at 9 a.m., though he has never checked.
1. Identify the obstacles to problem solving shown here - functional fixedness, mental set, and heuristic-based judgement - and explain how each one blocks a solution.
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Functional fixedness (Duncker). Suresh sees each object only in its habitual role: the crate is 'for stacking reams', the cart is 'for vegetables', the sacks are 'for waste', the rope is 'for tying parcels'. He cannot assign a new function to a familiar object - the crate as a rigid, rope-lashed carrier on the cart, the sacks as a clean lining that answers his soiling objection. The solution is physically present in the shop but is invisible because of the fixed representation. Notably, his objection about soiling is solvable by the sacks he already has, which shows the block is representational, not material.
Mental set (Luchins). He repeats a previously successful procedure - balancing files on the cycle carrier - even after the conditions that made it work (a working cycle) have gone. Past success makes the old method feel like the only method, so he spends 25 of his 140 available minutes on it rather than searching for alternatives.
Heuristic-based judgement. Deciding the west school order is based on the availability heuristic: the vivid memory of the rude teacher comes to mind easily and is treated as a reason, though it is irrelevant to the delivery deadline. The unverified belief that the west gate opens at 9 a.m. is held without checking and is supported by confirmation bias - he does not phone to test it. Both judgements are made under time pressure, which favours fast, effort-saving rules over verification, and both raise the risk of missing the deadline.
2. Work out an actual delivery plan using means-end analysis, and show the time arithmetic that justifies it over his original attempt.
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Goal state: 40 files at two schools by 9.00 a.m. Current state: 40 files at the shop, no cycle, no helper, 140 minutes available.
Identify the differences and remove them one at a time. Difference 1: no carrying capacity. Subgoal: create capacity - line the crate with the jute sacks, load all 40 files in it, lash the crate to the handcart with the rope. Difference 2: the west school is 3 km away and the cart is slow. Subgoal: split the load. Cart carries the 20 east files; the neighbour's scooter carries the 20 west files in one trip. Difference 3: unverified opening time. Subgoal: phone the west school before 7 a.m. to confirm.
Time arithmetic. Loading: 6.40-7.00 (20 min). Phone call: 2 min. Cart to east school at about 4 km/h: 1.5 km = roughly 23 min, so arrival 7.25; handing over 10 min, return by 7.58. Neighbour's scooter to west school: 3 km = about 10 min each way, departure 7.05, delivery 7.15, return 7.30.
Comparison with his original attempt. His attempt used 25 minutes and delivered nothing, leaving 115 minutes for two deliveries with a flat tyre - impossible. The revised plan completes both deliveries before 8.00 a.m., leaving a 60-minute buffer for a puncture, a locked gate or a missing file.
Evaluation. The binding constraint is capacity, not distance; once capacity is solved by re-purposing the crate and cart, the distance problem is solved by splitting the load. An alternative worth noting - asking the east school to send a staff member on a two-wheeler - is even cheaper but depends on a phone call and goodwill, so it should be kept as a backup.
3. Distinguish convergent from divergent thinking in this case. If Suresh had found the crate-and-cart solution, would that count as creative thinking? Justify using the criteria of fluency, flexibility, originality and elaboration.
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Convergent thinking moves toward the single best answer within the constraints - deciding between the cart route and the scooter route on the basis of time arithmetic is convergent, and so is the final choice of plan. Divergent thinking moves outward to many possible answers - listing every object that could carry files: crate, sacks, cart, scooter, school van, a neighbouring shop's tempo, a passing auto. Suresh's failure is a failure of divergence at the start; his plan, once found, is a good convergent exercise.
Is the crate-and-cart solution creative? Apply the four criteria. Fluency: he produced, say, three viable options rather than one. Flexibility: he shifted categories - from a two-wheeler carrier to a cart-based system, and from 'crate as furniture' to 'crate as container'. This shift is the hallmark of overcoming functional fixedness, so flexibility is the strongest evidence. Originality: low to moderate - the idea is uncommon in his shop but is a standard practice in the transport trade, so it is novel for him, not novel in general. Elaboration: high - he lined the crate with sacks, calculated loading time, split the load.
Verdict. It is creative in the everyday, problem-solving sense (novel and appropriate for the person), but it is a rediscovery rather than an innovation. The judgement turns on whether novelty is measured against the individual or against the field; the examination should credit the former and note the latter.