Question

In a 800m race, a beats b by 80m and in 1000m race b beats c by 200m. If in 500m race a beats c by 35 sec, then the speed of b is

Answer 1

Answer:

When A covers 800m, B covers 720m

When A covers 1000m, B covers x m (say)

800

1000

=

720

x

x

=

900

m

…... (1)

When B covers 1000m, C covers 800m

When B covers 900m, C covers  

η

m

(say)

1000

900

=

800

y

y

=

720

m

…… (2)

From (1) and (2)

In 1000m race, A beats C by 280m

In 500m race, A beats C by 35sec

In 1000m race, A beater C by 70sec

C takes 70 sec to cover 280m

Speed of  

C

=

280

m

70

sec

=

4

m

/

s

Time taken by C to travel

720

m

=

720

4

=

180

sec

Time taken by B to travel  

900

m

=

180

sec

Speed of  

B

=

900

m

180

sec

=

5

m

/

s

Step-by-step explanation:

Answer 2

I have attached my working... hope this helps