A person travels from one place to another at 30km/hr and returns at 120km/hr . If the total time taken is 5 hours, then find the Distance.
Answers
Calculation of Distance
Answer: Distance between one place to another is 120 km and distance traveled by person is ( going to place and returning ) is 240 km.
Explanation:
Given that A person travels from one place to another at 30 km/hr.
And person returns at the speed of 120 km/hr .
Total time taken is 5 hours .
For sake of simplicity lets represents one place be A and another place be B.
lets assume distance from one place to another that is AB = x km\
Speed from A to B is 30 km / hr
As Time = Distance / Speed
Time taken to travel distance from A to B = Distance from A to B / speed from A to B = x / 30
⇒Time taken to travel distance from A to B = (x/30)hrs
Return Speed from B to A is 120 km / hr
Time taken to travel distance from B to A = Distance from B to A / speed from B to A = x / 120 ( as distance from B to A is same as from A to B )
Time taken to travel distance from A to B + Time taken to travel distance from B to A = Total time
given that total time = 5 hours
⇒ (x/30 + x/120) = 5 hours
⇒ x ( 1/30 + 1/120) = 5 hours
⇒x( (4+1) /120 ) = 5
⇒ 5x/120 = 5
⇒ x = 5 × 120 / 5 = 120Km
So distance between one place to another = x = 120 km and distance traveled by person is 2x ( going to place and returning ) that is 2 x 120 = 240 km.
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#BAL
Answer:
34 km /225kam hope it may help you