what should be the answer of this question ?

Asked by Takshil Garg on 2026-08-22 in CAT Prep

The speed of a delivery van is inversely proportional to the square root of the number of stops it has to make and directly proportional to the square root of the number of packages delivered at each stop. The van delivers a total of 144
packages equally distributed among the stops. The number of packages per stop. p is a multiple of 4 and does not exceed 36. If the difference between the maximum and minimum possible speeds of the van is 48 km/h, find the speed of the van when there are 6 stops.

1 Answer

Pratibha jain · 2026-08-22 · 1 helpful

I got 36 km/h

Speed is proportional to packages per stop and given maximum p=36 and p is a multiple of 4 so the minimum possible value is 4 so difference is 32
Given difference between maximum and minimum speed is 48 km/h

For 6 stops p=144/6=24

So speed = 48 × 24/32 = 36 km/h

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