Question : In a race of 1200 m, Ram can beat Shyam by 200 m or by 20 sec. What must be the speed of Ram?
Option 1: 14 m/sec
Option 2: 12 m/sec
Option 3: 10 m/sec
Option 4: 16 m/sec
Correct Answer: 12 m/sec
Solution :
Ram beats Shyam by 200 m or 20 sec. This means Shyam covers a 200 m distance in 20 sec. $\therefore$ Speed of Shyam = $\frac{200}{20}$ = 10 m/sec Also, in the 1200 m race, Ram beats Shyam by 200 m. Distance covered by Ram = 1200 m Distance covered by Shyam in same time = 1000 m Now, the 1000 m distance is covered by Shyam with a speed of 10 m/sec in $\frac{1000}{10}$ = 100 seconds So, 1200 m distance is covered by Ram in 100 seconds. $\therefore$ Speed of Ram = $\frac{1200}{100}$ = 12 m/sec Hence, the correct answer is 12 m/sec.
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Question : In a 1200 m race, Rakesh reaches the final point in 36 seconds and Rajesh reaches in 40 sec. By how much distance does Rakesh beat Rajesh?
Option 1: 130 m
Option 2: 120 m
Option 3: 140 m
Option 4: 150 m
Question : $16 \sec ^2 A-16 \tan ^2 A=$_________.
Option 1: 9
Option 2: 0
Option 3: 16
Option 4: 1
Question : Directions: In each of the following questions, select the one that is different from the other three alternatives.
Option 1: 20, 16, 18
Option 2: 18, 14, 16
Option 3: 16, 12, 14
Option 4: 14, 11, 13
Question : A train 270 m long, is running at a speed of 36 km/hr, then it will cross a bridge of length 180 m in:
Option 1: 40 sec
Option 2: 45 sec
Option 3: 50 sec
Option 4: 35 sec
Question : A gives B a head-start of 10 seconds in a 1500 m race and both finish the race at the same time. What is the time A takes (in minutes) to finish the race if the speed of B is 6 m/s?
Option 1: 3
Option 2: 4
Option 3: 8
Option 4: 5
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