TSD Q9

If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?
(a) 11 km/hr
(b) 12 km/hr
(c) 13 km/hr
(d) 14 km/hr

When speed of the man = 10 km/hr = d/t

When speed of the man = 15 km/hr = d/(t-2)

Equating the value of d,

10 × t = 15 × (t - 2)

t = 6 hours.

Desired speed = d/(t-1) = 10t/(t-1) = 12

The correct option is B.

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