Total Distance of the Race?

A runs 8/3 times as fast as B. A gives B a start of 80 meters. 

If both finish the race at the same time, what was the total distance of the race?

Here is the TOTAL DISTANCE of Race!

      

                           

Total Distance of the Race!

 

What was the PUZZLE?

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Suppose B’s speed is 1 m/s, then A’s speed will be 8/3 m/s.

A allowed B to go 80 meters ahead, meaning the distance between them is 80 meters.

Now, after A starts running, every second B increases this distance (80 m) by 1 meter, but A (because his speed is higher) reduces this distance by 8/3 meters.
So, each second the distance between them decreases by:

8/3 − 1 = 5/3 meters per second.

This means that to close the 80-meter gap, the time required is:

80 ÷ (5/3) = 48 seconds.

Both finish the race at the same time, meaning the gap becomes zero at the finish line, and from A’s perspective, it took him 48 seconds to complete the race at a speed of 8/3 m/s.

Therefore, the total race distance must be:

(8/3) × 48 = 128 meters.

Or

B run for 48 seconds at speed of 1m/s means covered distance of 48m. Since he started 80m ahead of A the total distance of race is 80 + 48 = 128m.

                                                    

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IPL Matches For The Charity

For Charity, five IPL teams were competing in cricket where they face each other exactly once. After the tournament, the following is the point table.

DareDevils 6
SuperKings 5
Royals 4
Sunrisers 2
Riders ?

How many points did Riders end up with? 

Click to know points of Riders! 

Source 

Points Scored By Riders in Charity Matches

Look at the point table first!

There are 5 teams playing in the competition for the charity. Hence, there are 10 possible matches between the teams like below.

DareDevils vs SuperKings
DareDevils vs Royals
DareDevils vs Sunrisers
DareDevils vs Riders
SuperKings vs Royals
SuperKings vs Sunrisers
SuperKings vs Riders
Royals vs Sunrisers
Royals vs Riders
Sunrisers vs Riders

For winning team, 2 points must have been given & for playing a draw 1 point must have been given to each team.

So there are 10 matches & total points distributed must be 10 x 2 = 20.

Adding up points of all teams 6 + 5 + 4 + 2 + Riders  = 20. That gives Riders = 3.

Hence point score of Riders is 3!