Question
A and B go cycling in the same direction with speeds of 6 km/hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively. What is the speed of the car?
Answer: Option C
THE RELATIVE SPEED OF A AND B IS 6 KM/HR = 1.67 M/S
AS THE CAR PASSES A AFTER 10S, THE DISTANCE BETWEEN A AND B AFTER 10S (I.E. AT 11TH SECOND) IS THE DISTANCE COVERED BY CAR IN 1 SECOND.
THEREFORE, AT T = 11, D = 1.67 * 11
D = 18.33 M
V = D/T = 18.33/1 = 18.33M/S
V = 66 KM/HR
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THE RELATIVE SPEED OF A AND B IS 6 KM/HR = 1.67 M/S
AS THE CAR PASSES A AFTER 10S, THE DISTANCE BETWEEN A AND B AFTER 10S (I.E. AT 11TH SECOND) IS THE DISTANCE COVERED BY CAR IN 1 SECOND.
THEREFORE, AT T = 11, D = 1.67 * 11
D = 18.33 M
V = D/T = 18.33/1 = 18.33M/S
V = 66 KM/HR
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