Question

A man walk at 6km/h and run at 8km/h. He covers 6km in 50 min partly by running and partly by walking. (i)For how long did he walk ? (ii)What distance did he cover walking ?​

Answer 1

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