The speed of two trains is in the ratio of 5:4 and each of them travelled 270km. If the total time taken is 9 hours, then find the speed of the faster train?
a. 40.0 kmph
b. 56.5 kmph
c. 67.5 kmph
d. 78.5 kmph
e. 82.5 kmph
Sol:
Let the speed of faster and slower train are 5s
kmph and 4s kmph respectively
Time taken by faster train = 270/5s
Time taken by slower train = 270/4s
Total time taken, 270/5s + 270/4s = 9
s = 13.5 kmph
Speed of faster train = 5 * 13.5 = 67.5 kmph