if Ajay cycles at 10 km/hr, he reaches the school late by 4 minutes. If he cycles at 12 km/hr, he reaches the school early by 2 minutes. Find the distance of the school from his home.​

Respuesta :

Answer:

Step-by-step explanatioSince distance = speed * time, is a constant, s1t1=s2t2

1

1

=

2

2

Let the correct time to reach be t hours

s1 = 10 km/hr and t1 = (t + 4/60) hours

s2 = 12 km/hr and t2 = (t - 2/60) hours

Therefore 10∗(t+460)=12∗(t−260)

10

(

+

4

60

)

=

12

(

2

60

)

10t+4060=12t−2460

10

+

40

60

=

12

24

60

2t=6460

2

=

64

60

t=3260

=

32

60

Substituting t for the LHS gives the distance = 10∗(3260+460)

10

(

32

60

+

4

60

)

= 6 km

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