Question

John travelled from his town to city. John went to city by bicycle at the speed of 25 km/h and came back at the speed of 4 km/h. If john took 5 hours and 48 min to complete his journey, what is the distance between town and city ?

Answer 1

Answer:

firstly change the time in same units that is .87/15          now  distance is equal to speed multuplied by time now   87/15*25   =145km     this

is your answer Explanation:

Answer 2

Concept

Motion and Time

Given

John travelled from his town to city. John went to city by bicycle at the speed of 25 km/h and came back at the speed of 4 km/h. If john took 5 hours and 48 min to complete his journey,

Find:

Distance between the town and city

Solution:

Let the distance between the them be x.

Trip 1

Speed:25kmph

Let time be $t_1$

$speed=\frac{distance}{time} \\t_1=\frac{x}{25kmph}$

Trip 2

Speed:25kmph

Let time be $t_2$

$Speed=\frac{distance}{time} \\t_2=\frac{x}{4kmph}$

Total trip

$t_1+t_2=5hours 48 mins\\t_1+t_2=348 mins\\\frac{x}{25}+\frac{x}{4}=348mins\\ x(\frac{29}{100})=348mins\\\\x= 40km$

Hence the distance between the towns is 20km since its a round trip

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