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madam [21]
3 years ago
5

my brother and i walk the same route every day. my beother takes 40minutes to get to school and i take 30minutes to get to schoo

l. today my brother left 8minutes before me. how long will it take me to catch up? suppose my brother's headstart is 5 instead of 8 minutes. now how long will it take me to catch up?
Mathematics
1 answer:
Goryan [66]3 years ago
6 0

In 1 minute, I walk = 1/30

In 1 minute, My brother walk = 1/40

In T minutes, I walk = T*1/30

My brother walk 8 minute before = T + 8

In 1 minute, My brother walk = (T + 8)*1/40

When these two distances are same, then I will catch him.

T*(1/30) = (T + 8)*(1/40)

30*(T + 8) = 40*T

30*T + 240 = 40*T

240 = 10*T

T = 24 minutes

hence, I will catch him in 24 minutes.

Take 5 instead of 8.

My brother walk 5 minute before = T + 5

In 1 minute, My brother walk = (T + 5)*1/40

When these two distances are same, then I will catch him.

T*(1/30) = (T + 5)*(1/40)

30*(T + 5) = 40*T

30*T + 150 = 40*T

150 = 10*T

T = 15 minutes

Hence, I will catch him in 15 minutes.


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