SOLUTION: Ramu travel to his home with speed of 5k/h he will reach 3 minutes late.if he go with speed of 6k/h he will reach 7minutes early.what is the distance he traveling?

Question 979692: Ramu travel to his home with speed of 5k/h he will reach 3 minutes late.if he go with speed of 6k/h he will reach 7minutes early.what is the distance he traveling?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
t, target time
RT=D, basic uniform rate rule for travel
Ramu goes the same distance d, for both Is and If.

_________________rate___________time____________distance
IS_______________5______________t+3/60___________d
IF_______________6______________t-7/60___________d

-------THIS IS STILL CORRECT------same as 57 minutes------Use this time to find d.

FINDING DISTANCE d:

At 5 k/h,

At 6 k/h,

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

Ramu travel to his home with speed of 5k/h he will reach 3 minutes late.if he go with speed of 6k/h he will reach 7minutes early.what is the distance he traveling?

Let distance be D
At 5 km/h, it took him a time of to get home
At 6 km/h, it took him a time of to get home
Since a time of makes him 3 minutes late, then "on-time" time = , or
Since a time of makes him 7 minutes early, then "on-time" time =
Setting "on-time" times equal, we get:
12D - 3 = 10D + 7 ----------- Multiplying by LCD, 60
12D - 10D = 7 + 3
2D = 10
D, or distance = , or km
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