If I had walked 1 km per hour faster, I would have taken 10 minutes less to walk 2 km. Find the rate of my walking.
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Answered by
4
Answer:
Let s = speed of walking
2/s = travel time at speed s
2/(s+1)= travel time at speed (s+1)
2/s - 2/(s+1) = 1/6
Simply equation
s^2 + s -12 = 0
(s+4)(s-3) = 0
s-3 = 0
s=3
The speed of walking is 3 km/h
Answered by
113
Given :-
- If I had walked 1 km per hour faster, I would have taken 10 minutes less to walk 2 km.
To Find :-
- Rate of walking (Speed)
Solution :-
Distance = 2 km
- Let speed be x km/hr
- New speed = (x + 1) km/hr
✠ Time taken by Normal speed = 2/x hr
✠ Time taken by fast speed = 2/x + 1 hr
According to the Question,
⇒ 2x - 2/x + 1 = 10/60
⇒ 2x + 2 - 2x/x² + x = 1/6
⇒ x² + x = 12
⇒ x² + x - 12 = 0
⇒ x² + 4x - 3x - 12 = 0
⇒ x (x + 4) - 3 (x + 4) = 0
⇒ (x + 4) (x - 3) = 0
⇒ x = - 4 or x = 3
- Hence, speed is 3 km/hr
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