Question

Rashi can cycle @ 12 kilometre an hour and walk @ 4 kilometre an hour to cover a distance of 66 km seat ex 8.5 hours how many kilometres did she cover on foot

Answer 1

Answer:

Rashi covered 18 km on foot.

Solution:

Let the time of cycling be x hours and that of walking be y hours.

• Speed of cycling = 12 km / h

Then in x hours, she goes 12x km

• Speed of walking = 4 km / h

Then in y hours, she goes 4y km

Total path = (12x + 4y) km

and total time = (x + y) hours

ATQ,

12x + 4y = 66

or, 6x + 2y = 33 ..... (1)

x + y = 8.5

or, 6x + 6y = 51 ..... (2)

Now, subtracting (1) no. equation from (2) no. equation, we get

6x + 6y - 6x - 2y = 51 - 33

or, 4y = 18

Thus the path covered on foot (= 4y km) is 18 km.