SOLUTION: some part of a journey of 780 km was made by a car with speed of 60 km per hour and the remaining journey was made by train with a the speed of 100 km per hour.if the total time re

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Question 1120333: some part of a journey of 780 km was made by a car with speed of 60 km per hour and the remaining journey was made by train with a the speed of 100 km per hour.if the total time required was 9 hours find the time taken by train and distance covered by train
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Time of first part, x%2F60 hours, by car

Time of second part, %28780-x%29%2F100 hours, by train

Total time, 9 hours:
x%2F60%2B%28780-x%29%2F100=9

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
some part of a journey of 780 km was made by a car with speed of 60 km per hour and the remaining journey was made by train with a the speed of 100 km per hour.if the total time required was 9 hours find the time taken by train and distance covered by train
Let time taken by train be T

Then we get the following DISTANCE equation: matrix%281%2C3%2C+100T+%2B+60%289+-+T%29%2C+%22=%22%2C+780%29

Solve this for T, the time traveled by train

Multiply value of T by 100 to get distance traveled by train



OR



Let distance by train be D

Then we get the following TIME equation: matrix%281%2C3%2C+D%2F100+%2B+%28780+-+D%29%2F60%2C+%22=%22%2C+9%29

Solve this for D, the distance by train

Divide value of D by 100 to get time taken to travel by train