Question

Two runners cover the same distance at the rates of 10 km/hr and 12 km/hr respectively.
Find the distance travelled when one takes 16 minutes longer than the other.
(A) 8 km
(B) 16 km
(C) 24 km
(D) 36 km​

Answer 1

Answer:

Find the distance travelled when one takes 16 minutes longer than the other. 2. See answers.

41 votes

Answer 2

solution:-

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

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