SOLUTION: Two cyclists are travelling side by side along a long straight cycle track, one at 30 km/h and the other at 31 km/h. The faster cyclist wishes to overtake the slower one, and wil

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Question 1003136: Two cyclists are travelling side by side along a long straight
cycle track, one at 30 km/h and the other at 31 km/h. The
faster cyclist wishes to overtake the slower one, and will need
to gain 8 m relative to the slower cyclist in order to do this
safely. Find:
a) the time taken for the faster cyclist to overtake the slower
cyclist
b) the distance travelled by the faster cyclist in this time
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Two cyclists are travelling side by side along a long straight
cycle track,
one at 30 km/h and
the other at 31 km/h.
ll need
to gain 8 m relative to the slower cyclist

a) the time taken for the faster cyclist to overtake the slower
cyclist
difference between cyclists speed = 1km/h = 0.28m/s
distance = 8 m
time = d/r
8/0.28
= 28.7 seconds
b) the distance travelled by the faster cyclist in this time
31 km/h =8.6m/s
Distance travelled = 8.6 * 28.7 =246.82 m OR 0.246 km