Thomas has constant speeds for both running and walking. When a down-escalator is moving, Thomas can run down it in 15 seconds or walk down it in 30 seconds. One day, when the escalator was broken (and stationary), it took Thomas 20 seconds to run down it.
How long, in seconds, would it take Thomas to walk down the broken escalator?
Answers
Given : Thomas has constant speeds for both running and walking.
Thomas can run down escalator in 15 seconds
walk down escalator in 30 seconds.
when the escalator was broken (and stationary), it took Thomas 20 seconds to run down it.
To Find : How long, in seconds, would it take Thomas to walk down the broken escalator
Solution:
Distance = Speed * time
Let say Speed while Running = R
Speed of Escalator = S
=> (R + S)15 = Distance covered
hen the escalator was broken (and stationary)
R(20) = Distance covered
=> (R + S)15 = 20R
=> 15R + 15S = 20R
=> 15S = 5R
=> 3S = R
Speed of Walk = W
(W + S)30 = Distance covered
Let say T second taken
then WT = Distance covered = (W + S)30
(W + S)30 = (R + S)15
R = 3S
=> (W + S)30 = (3S + S)15
=> 30W + 30S = 60S
=> 30W = 30S
=> W = S
WT = (W + S)30
=> WT = ( W + W) 30
=> WT = 2W(30)
=>WT = 60W
=> T = 60
60 seconds
It will take 60 second ( 1 Min) to walk down the broken escalator
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