, Shyam and Hari went out for a 100 km journey. Ram and Hari started the journey in Ram's car at the rate of 25 km/h, while Shyam walked at 5 km/h. After
sometime, Hari got off and started walking at the rate of 5 km/h and Ram went back to pick Shyam. All three reached the destination simultaneously. What was the
number of hours required for the trip?
Answers
number of hours required for the trip = 8 hrs
Step-by-step explanation:
In first T hrs
Ram & Hari Covered = 25T km
Distance Remained = 100 - 25T km
Time taken by Hari to Cover 100 - 25T km = (100 - 25T)/5
= 20 - 5T hrs
Total Trip time = T + 20 -5T = 20 - 4T hrs
Distance Covered by Shayam in T hrs = 5T km
Distance between Shayam & Ram = 25T - T = 20T km
Time taken to Cover 20T km By Ram & Shayam
= 20T/(25 + 5)
= 2T/3 Hrs
Remaining Time = Time Taken by Hari - 2T/3 Hrs
(20 - 5T) - 2T/3 = 20 - 17T/3 hr
Distance Covered by Shayam = 5T + 5 (2T/3) = 25T/3 km
Remaining Distance = 100 - 25T/3 km
25(20 - 17T/3) = 100 - 25T/3
=> 500 - 425T/3 = 100 - 25T/3
=> 400 = 400T/3
=> T = 3 Hrs
Total Trip time = 20 - 4 * 3 = 8 hrs
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