Question
Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60km/h and the other is moving at 40km/h mph. In how many hours will they meet?
Answer: Option D
ONE MOVES AT 60KM/H, SO IN AN HOUR, HE’LL TRAVEL 60KM
THE OTHER MOVES AT 40KM/H, SO IN AN HOUR, HE’LL TRAVEL 40KM
THIS IS TOWARDS EACH OTHER, SO, IN AN HOUR, WE CAN SAY THAT THEY’LL GET 60+40=100KM CLOSER.
THIS MEANS THAT THEY GET CLOSER AT 100KM/H
GIVEN THAT WE HAVE THE DISTANCE OF 150KM, AND THE SPEED OF CLOSURE AT 100KMH, WE CAN NOW USE THE EQUATION
S=D/T
REARRANGE TO FIND T (TIMES BOTH SIDES BY T)
S X T = D (NOW DIVIDE BOTH SIDES BY S)
T=D/S
TIME = 150KM DIVIDED BY 100KM/H
TIME = 1.5 HOURS
OR ONE HOUR AND 30 MINUTES
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ONE MOVES AT 60KM/H, SO IN AN HOUR, HE’LL TRAVEL 60KM
THE OTHER MOVES AT 40KM/H, SO IN AN HOUR, HE’LL TRAVEL 40KM
THIS IS TOWARDS EACH OTHER, SO, IN AN HOUR, WE CAN SAY THAT THEY’LL GET 60+40=100KM CLOSER.
THIS MEANS THAT THEY GET CLOSER AT 100KM/H
GIVEN THAT WE HAVE THE DISTANCE OF 150KM, AND THE SPEED OF CLOSURE AT 100KMH, WE CAN NOW USE THE EQUATION
S=D/T
REARRANGE TO FIND T (TIMES BOTH SIDES BY T)
S X T = D (NOW DIVIDE BOTH SIDES BY S)
T=D/S
TIME = 150KM DIVIDED BY 100KM/H
TIME = 1.5 HOURS
OR ONE HOUR AND 30 MINUTES
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