A man travels 434 km in, partly by rail and partly by steamer. he spends 8 hours more time on steamer. if the velocity of the steamer is 25 km/hr and the velocity of rail is 65 km/hr, how much distance does he cover by steamer?
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Total distance = 434km
time spent on rail = x hrs
time spent on steamer = (x+8) hrs
steamer vel = 25km/hr; dist = vel x time = 25 x (x+8) km
rail vel = 65km/hr; dist = vel x time = 65 x (x) km
Acc. to que,
25 x (x+8) km + 65 x (x) km = 434 km
or, 25x + 200 + 65x = 434
or, 90x + 200 = 434
or, 90x = 434 - 200
or, 90x = 234
or, x = 2.6 hrs = 2 hrs 36 mins.(Ans)
Now, distance covered by steamer = 25 x (2.6 + 8)
= 25 x 10.6
= 265 km.
For dist travelled by rail = 434 - 265
= 169 km.
time spent on rail = x hrs
time spent on steamer = (x+8) hrs
steamer vel = 25km/hr; dist = vel x time = 25 x (x+8) km
rail vel = 65km/hr; dist = vel x time = 65 x (x) km
Acc. to que,
25 x (x+8) km + 65 x (x) km = 434 km
or, 25x + 200 + 65x = 434
or, 90x + 200 = 434
or, 90x = 434 - 200
or, 90x = 234
or, x = 2.6 hrs = 2 hrs 36 mins.(Ans)
Now, distance covered by steamer = 25 x (2.6 + 8)
= 25 x 10.6
= 265 km.
For dist travelled by rail = 434 - 265
= 169 km.
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