The two cars are moving in the same direction. The speeds of both cars are 100 km/hr and 118 km/hr. Find the relative speed (in m/sec) of the two cars with respect to each other.
(a) 5 m/sec.
(b) 10 m/sec.
(c) 7 m/sec.
(d) 12 m/sec.
Answer (2)
To find the relative speed of two cars moving in the same direction, we need to take the difference between their speeds. This is because, when two objects move in the same direction, their relative speed is given by subtracting the speed of the slower object from the speed of the faster object.
Step-by-step Calculation
Identify the speeds of the two cars:
Speed of the first car: 100 km/hr
Speed of the second car: 118 km/hr
Calculate the difference in speed:
Relative speed in km/hr: 118 km/hr − 100 km/hr = 18 km/hr
Convert km/hr to m/sec:
The conversion factor from km/hr to m/sec is 18 5 .
So, 18 km/hr × 18 5 = 5 m/sec
Therefore, the relative speed of the two cars with respect to each other is 5 m/sec .
The correct multiple choice option is: (a) 5 m/sec.
The relative speed of the two cars moving in the same direction, with speeds of 100 km/hr and 118 km/hr, is calculated to be 5 m/sec. The calculation involves finding the difference in speeds and converting that from km/hr to m/sec. Thus, the answer is option (a) 5 m/sec.
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