Question

A boy travels for x hours at 8 km per hour and then
for y hours at 7 km per hour. If he goes
37 km altogether in 5 hours, find x and y.​

Answer 1

Answer:

x= 16 km/2 hours

y= 21 km/3 hours

Step-by-step explanation:

x hours=8 km/hour

y hours=7 km/hour

37 km = total

37 km=x+y

x= 16 km/2 hours

y= 21 km/3 hours

Answer 2

Answer:

x = 2 hours and y = 3 hours.

Step-by-step explanation:

Given :

Time for which the boy travels (t) = x hours

Speed of the boy for x hours (s) = 8 km/ hr

In the next step,

Time for which the boy travels = y hours

Speed of the boy for x hours = 7 km/ hr

Total distance travelled by the boy = 37 Km

Total time taken to cover 37 km = 5 hours.

Formula to be used :

$distance \: = speed \: \times time$

Calculations :

Distance covered by the boy in x hours = 8x km

Distance covered by the boy in y hours = 7y km

Total distance covered = 8x + 7 y = 37 ......equation(1)

Now, total time taken to cover 37 km = 5 = x +y.....equation (2)

Solving the two equations,

Multiplying the second equation by 7, we get :

7x + 7y = 35 ....equation ( 3)

Now , subtracting equation (3) from equation (1) , we get :

$(8x + 7y) - (7x + 7y) = 37 - 35 = 2 \\ x = 2 \: hours$

Now, putting x = 2 hours in equation (2) , we get :

x + y = 5

y = 5-x = 5-2 = 3 hours.

Hence, x = 2 hours and y = 3 hours.

# SPJ2