a man walks at 6 km/h. he covers 6km in 50min. partly by running and partly by walking.for how long did he walk?
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Answer:
Walking speed = 6km/hr or
60min
6km
Running speed = 8 km/hr or
60min
8km
Total distance to cover ⇒6km
Total Time taken = 50 min
Let the distance covered while waking = (x)km
running = (6-8)
∴ according to ques :-
6/60
x
+
8/60
6−x
=50
⇒60×
2
1
[
3
x
+
4
6−x
]=50
12
4x+18−3x
=
3
5
1(x−18)=5×4
x=20−18⇒2,
x=2
6−x=4
∴ Now,
(ii) Distance covered while walking ⇒2km
(i) He walked for (
6/60
x
)min⇒(
6
2
×60)
⇒
3
60
⇒20min
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