Question

In eight hours A walks twelve km more than B does in seven hours; and in thirteen hours B walks
seven km more than A does in nine hours. How many km does each walk
per
hour?​

Answer 1

Answer:

Here is the solution of your asked query:

Let the speed of A and B be x km/h and y km/h respectively.Distance travelled by A in 8 hours = 8xAnd distance travelled by B in 7 hours=7ySince A travelled 12km more than B, so we have;8x=7y+12   ⇒8x−7y=12 ....(i)Again the distance travelled by B in 13 hours=13yAnd the distance travelled by A in 9 hours=9xSince B travelled 7km more than A, so we have;13y−9x=7 ...(ii)Multiplying (i) by 9 and (ii) by 8 and adding we get;72x−63y+104y−72x=108+56⇒41y=164⇒y=16441=4Then from (i) we get;8x−7×4=12⇒8x=40⇒x=408=5Therefore the speed of A is 5km/h and speed of B is 4km/h.Let the speed of A and B be x km/h and y km/h respectively.Distance travelled by A in 8 hours = 8xAnd distance travelled by B in 7 hours=7ySince A travelled 12km more than B, so we have;8x=7y+12   ⇒8x-7y=12 ....(i)Again the distance travelled by B in 13 hours=13yAnd the distance travelled by A in 9 hours=9xSince B travelled 7km more than A, so we have;13y-9x=7 ...(ii)Multiplying (i) by 9 and (ii) by 8 and adding we get;72x-63y+104y-72x=108+56⇒41y=164⇒y=16441=4Then from (i) we get;8x-7×4=12⇒8x=40⇒x=408=5Therefore the speed of A is 5km/h and speed of B is 4km/h.

Answer 2

Answer:

The answer is

Step-by-step explanation:

A has a speed of 5km per hour. Therefore in 1.5 hour A will walk 7.5 Km