Time taken by Kamal to run 100 m = 100 / 18 x 5 / 18 = 20 s Therefore, time taken by Bimal to run 100 m = 20 + 5 = 25 s
Hence, Bimal's speed = 100 / 25 = 4 m/sec = 4 x 18 Km/h = 14.4 Km/h
A will reach at starting point in 5 * 2 / 5 = 2 hours ;
B will reach at starting point in 5 / 3 hours ;
C will reach at starting point in 5 / 2 hours ;
Then, on the starting point all three will meet after the L.C.M. of 2, 5 / 3, 5 / 2, 10 / 1 = 10 hours.
A's speed = (5 * 5 / 18) m/sec = 25 / 18 m/sec
Time taken by A to cover 100 m = (100 * 18 / 25) sec = 72 seconds.
? B covers 92 m in 72 + 8 = 80 seconds.
B's speed = (92 / 80 * 18 / 5) Km/h = 4.14 Km/h.
Speeds (in m/sec) of A and B are
9 / 2 * 5 / 18 = 5 / 4 and 6 * 5 / 18 = 5 / 3, respectively.
A has a start of 190 m.
So, A has to run 1000 - 190 = 810 m, while B 1000 m.
Time taken by B to cover 1000 m = 3 5 × 1000 = 600 seconds.
In this time, A covers 5 × 600 / 4 = 750 m.
So, B reaches the winning post while A remains 810 - 750 = 60 m behind.
? B wins by 60 m.
To reach the winning post, A will have to cover a distance of (500 - 140). i.e, 360 m.
While A covers 3 m, B covers 4 m.
While A covers 360 m, B covers 4 × 360 / 3 = 480 m.
So, A reaches the winning post while B remains 20 meter behind.
? A wins by 20 m.
When A scores 75 points, B scores 50 points.
When A scores 90 points, C scores (90 - 18) = 72 points.
? When A scores 75 points, C scores = 72 × 75 / 90 = 60 points.
A : B : C = 75 : 50 : 60
C : B = 60 / 50 = 120 / 100
So, in a game of 120, C can give B
(120 - 100) = 20 points.
Time taken by A to cover 100 meters
= 100 ÷ (5 * 5 / 18) = 72 seconds.
? B covers (100 - 8) or, 92 meters in (72 + 8) or, 80 seconds.
? Speed of B = ( 92 / 80 ) * ( 16 / 5 ) = 4.14 Km/h.
While Arun's 1000 m, B runs 1000 - 100 = 900 m and C runs 1000 - 200 = 800 m.
? While B runs 900 m, C runs 800 m.
? While B runs 1350 m; C runs 800 / 900 × 1350 = 1200 m
? B can beat C by 1350 - 1200 = 150 m.
According to question,
A can run a distance of 1 Km in 3 minutes 10 seconds and B can run the same distance in 3 minutes 20 seconds.
A beats B by 10 sec.
So distance covered by B in 10 sec. = (1000 *10 / 200) m = 50 m
? A beat B by 50 m.
If A scores 120 points, then B scores 100 points and C scores 90 points.
When B scores 100 points, then C scores 90 points.
When B scores 90 points than C scores (90/100) x 90 points = 81 points
? B can give C, 9 points in a game of 90.
Distance between Arun and Bhaskar at 7:30 am = 8 x 11/2 = 12 km
Time taken by Bhaskar in covering a distance of 12 km = 12/(12 - 8) = 3 h
? Required time = 10 : 30 am
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