A Three-Day Rajasthan Tour on a Fixed Budget
A government upper primary school in Jaipur plans a three-day study tour for 40 Class 8 students. The bus seats 45 and costs ₹25 per km, including fuel; the driver's night halt costs ₹600 per night; entry is ₹20 per student at each site, teachers free. The school has ₹24,000 and must return by 6 p.m. on Day 3. Three parents' groups propose plans. Plan A: Jaipur–Ajmer (135 km)–Pushkar (11 km)–Jaipur, two sites, no night halt. Plan B: Jaipur–Jodhpur (335 km)–Jaisalmer (285 km)–Jaipur (560 km), three sites, two night halts. Plan C: Jaipur–Udaipur (395 km)–Kumbhalgarh (85 km)–Jaipur (350 km), two sites, one night halt. The principal wants a decision today. One teacher argues that Plan B is best because it covers the Thar Desert theme; another says distance is not the only issue and that 11-year-olds cannot sit in a bus for nine hours. The school's theme is 'Water, rock and desert in Rajasthan'.
1. Calculate the cost of each plan using the given data. Which plans fit the ₹24,000 budget, and what hidden cost or constraint does a simple total miss?
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Plan A: distance 135 + 11 + 11 + 135 = 292 km. Bus cost 292 × ₹25 = ₹7,300. Entry 2 sites × 40 students × ₹20 = ₹1,600. No night halt. Total ₹8,900.
Plan B: distance 335 + 285 + 560 = 1,180 km. Bus cost 1,180 × ₹25 = ₹29,500. Entry 3 × 800 = ₹2,400. Two night halts = ₹1,200. Total ₹33,100. This exceeds the budget by ₹9,100.
Plan C: distance 395 + 85 + 350 = 830 km. Bus cost 830 × ₹25 = ₹20,750. Entry ₹1,600. One night halt ₹600. Total ₹22,950.
So Plans A and C fit on paper; Plan B does not. But the simple total misses two things. A three-day tour with overnight travel usually needs two nights, not one; adding a second night to Plan C gives ₹23,550, leaving only ₹450. That is not a real contingency for breakdowns, extra entry fees or meals. The total also says nothing about hours in the bus: Plan B's 1,180 km and Plan C's 395 km first day are age and safety constraints, not just line items.
2. A teacher says, 'Drop Jodhpur from Plan B and keep Jaisalmer; that saves 335 km and one site.' Evaluate this claim arithmetically and in terms of the theme.
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The claim is arithmetically misleading. Jodhpur lies on the Jaipur–Jaisalmer route: Jaipur–Jodhpur is 335 km and Jodhpur–Jaisalmer is 285 km, so the route via Jodhpur is 620 km one way. Dropping the Jodhpur visit does not remove 335 km unless the bus takes a different road; the bus still passes through or near Jodhpur. Even if a direct 560 km road is used, the saving is only 60 km, or ₹1,500, not ₹8,375.
Recalculate the revised plan with a direct 560 km each way: 1,120 km × ₹25 = ₹28,000; entry for two sites = ₹1,600; two night halts = ₹1,200; total ₹30,800. That is still ₹6,800 over budget. So the proposed cut does not rescue Plan B. It also weakens the theme: dropping Jodhpur removes a major rock-fort site, and the remaining trip is still a long desert journey with the same nine-hour driving problem. The teacher's claim confuses 'a stop on the route' with 'a segment of the route'.
3. The principal asks for a defensible decision that respects both the learning theme and child safety. Choose among Plan A, Plan C or a modified plan, and justify the trade-offs.
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Neither A nor C covers all three theme words, so the principal must choose what to sacrifice or supplement. Plan C is the only multi-site plan that stays under budget, but only just: with two nights it costs ₹23,550, leaving ₹450, and it puts 395 km on Day 1 and 350 km on Day 3. That is feasible only with early starts, fixed rest breaks, no night driving and a written contingency; it meets 'water' (Udaipur lakes) and 'rock' (Kumbhalgarh in the Aravallis) but not 'desert'.
Plan A costs ₹8,900 and is a much safer day trip, but it covers only water and some Aravalli surroundings. A defensible modified plan is: run Plan A as a one-day field visit, use the two remaining days for a local Aravalli rock and water study, and teach the desert theme through a classroom module with maps and photographs. This keeps the budget, avoids long drives for 11-year-olds, and still addresses all three theme words, though not all three by direct experience.
If the principal insists on travel, approve Plan C only with two costed nights, a ₹1,000 contingency from another head, and a signed safety plan. Do not approve Plan B: it is over budget by ₹9,100 and its distances are not suitable for this age group.