1 . A train travelling 25 km/hr leaves Delhi
at 9 am and another train travelling 35 km/hr
starts at 2 pm in the same direction. How
many km. from Delhi will they be together?
Ans: Let the two trains be together x hrs after
9 am.
Distance travelled by the first train = 25x km
Distance travelled by the second train
= 35 (x-5) km
ie 25x = 35 (x-5)
x = 17.5 hrs.
Required distance = 25x17.5 = 437.5 km.
2 . A boy goes to school at a speed of 3km/hr
and returns to the village at a speed of 2km/
hr. If he takes 5 hrs in all, what is the distance
between the village and the school.
Ans:Let x km be the distance between the
village and the school.
Then x/3 + x/2 = 5
= 6 km
3. Joshy travels at the rate of 3km/hr and
he reaches his office 15 mts late. If he travels
at the rate of 4km/hr. he reaches 15 mts earlier.
The distance Joshy has to travel is?
Ans:(Let x km be the distance that Joshy has
to travel.
1 . (4) 2 . (4) 3. (3)
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