. One day, Hari walked along a circular track for
3 hours. He then cycled along the track for the time he
would take to walk one round around the track and
thereby covered a total of 9 rounds. Another day, he
walked along the track for 4 hours and then drove his
motorcycle along the track for the time he would take
to walk one round around the track and thereby
covered a total of 14 rounds. If the speeds of his
cycling and motorcycle were 5 km/hr and 10 km/hr
respectively, then find his walking speed.
(A)
5
km/hr
3
(B) km/hr
(D) Zkm/hr
WIN W
(C) 2 km/hr
Answers
Given : One day, Hari walked along a circular track for 3 hours. He then cycled along the track for the time he would take to walk one round around the track and thereby covered a total of 9 rounds.
Another day, he walked along the track for 4 hours and then drove his
motorcycle along the track for the time he would take to walk one round around the track and thereby covered a total of 14 rounds.
the speeds of his cycling and motorcycle were 5 km/hr and 10 km/hr
respectively,
To Find his walking speed.
Solution:
Round covered in 3 hrs = 3x
Then Round covered in 4 hrs = 4x
Round covered by cycle = y
then Round covered by motor cycle = 2y
as speed of motorcycle is twice then cycle and both for same time of one round of walk
3x + y = 9
4x + 2y = 14
=> x = 2 and y = 3
Round covered in 4 hrs = 4x = 4 * 2 = 8
=> 1 round covered in 1/2 hr
Round covered by motorcycle in 1/2 hr = 14 - 8 = 6
motorcycle covered 6 round while by walk 1 round in same time 1/2 hr
=> Speed of walk = 10/6 = 5/3 km/hr
his walking speed. = 5/3 km/hr
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