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
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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
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