Question
A circular path is 800 m long. Beena and Arun run in
opposite directions from the same point A on the path at the same time. They continue to run after they meet for the first time. Beena runs another 53(1/3) seconds to arrive at A, while Arun runs another 2 minutes to get to point A. Which of the following statements is/are correct? Statement I: The speed of Beena is 6 m/sec. Statement II: The ratio of the speeds of Arun and Beena is 2 : 3.Solution
Beena takes 53(1/3) seconds to run from the meeting point back to point A. Since the path is circular, this distance is half the total length of the path (since they meet after running halfway around). Therefore, the distance Beena covers after the meeting is... Distance =800 /2 =400 meters Speed of Beena = Distance /Time = 400 / (160/ 3) = (400 x 3)/160 = 7.5 m/sec Thus, Statement I is incorrect, as Beena's speed is 7.5 m/sec, not 6 m/sec. Arun takes 2 minutes (or 120 seconds) to run from the meeting point back to point A. The distance Arun covers after the meeting is also 400 meters.  Arun's speed = 400 /120 =10/3 Speed of Arun = 10/3m/sec ≈ 3.33 m/sec The ratio of speeds = Speed of Arun: Speed of Beena =10 /3:7.5 =10:22.5 =100:225 =4:9 Thus, Statement II is also incorrect, as the ratio of the speeds of Arun and Beena is 4: 9, not 2: 3.
A and B together can finish a work in 10 days. If A alone can finish it in 25 days, in how many days can B alone finish it?
A man, a woman and a boy can do a work in 4, 8, 16 days respectively. How many boys were required with 1 man and 1 woman to complete the same work in 1/...
A man is thrice as fast as a women and a woman is twice as fast as a boy. If all of them can do a work in 18 days. than a boy can do the work in?
x men can finish a work in y days. 0.9x women can finish 1/3rd of the same work in (y - 8) days. If 0.8x women can complete 1/3rd work in 36 days. Find ...
'Ramesh' can complete a work in 40 days. He started the work and left after 24 days from starting. The remaining work was done by 'Suresh' in 30 days. F...
A and B finish a job together in 36 days, while B and C together finish it in 48 days. The trio completes 75% of the job in 18 days. In how many days wi...
There is enough food in a camp to last for 50 days if each of the 40 soldiers present at the camp eat 2 times a day. After 20 days, 40 more soldiers jo...
- Suppose D, E and F can do a piece of work individually in 18, 27 and 36 days respectively. If they combine and work for 4 days, what percentage of work wou...
- A builder employed 12 workers to complete a job in 18 days. But after 8 days, 4 workers quit. How many more days will be required to complete the remaining...
Twenty laborers can complete a piece of work in 12 days. If 20 laborers started working and after 3 more days, additional laborers joined to complete th...
Relevant for Exams:
