Question

A man travels 404 kilometres in partly by rail and steamer. He spends 10 hours more time on steamer. If the speed of the steamer is 30 km/hr and the velocity of rail is 50 km/hr, how much distance does he cover by steamer?

A) 407 km B) 509 km C) 610 km D) 339 km

Answer 1

Answer:

Let the time taken at rail be a

thus the equation made by both calculating speed will be

(a+8)35+65a=420

35a+280+65a=420

100a+280=420

100a=140

a=1.4hours

thus he spends a+8=9.4 hours on stream

so

speed=d/t=speed×t=35×9.4=329km