Two scooterists do the same journey by driving at the rates of 10 km/hr and 12 km/hr, respectively. Find the length of the journey when one takes 16 min longer than the other.
Explanation:
Given :- speed s = distance(d)/time(t)
Since distance d is the same d = st
At 12 km/h, takes shorter time t
At 10 km/h, takes longer time (t + 16/60) =( t+4/15)
12(t) = (t + 4/15)10
= 12t = 10t + 40/15
= 12t-10t = 8/3
=>t = 4/3
D = st
= 12×3/4 = 3×3 = 9km
Hence, option 3 is the correct answer.
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By: Amit Kumar