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Earn 100

At his normal speed, Rishu can go 18 km downstream in a flowing river in 9 h less than what he takes to go the same distance upstream. The downstream journey would take 1 h less than what the upstream journey would take provided he doubles his rate of rowing. Find the speed of the river (in km/h)?

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Important Questions on Arithmetic

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Umesh and Harish are running on a circular track of length 1200 m in opposite direction. Every time they meet, they exchange their speed as well as their directions. What is the shorter distance along the track between their 13th and 23rd meeting points, if the ratio of their original speeds is 1:5?
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Two friends Manoj and Sagar start running simultaneously in an opposite direction on a circular track of the length 2100 m with speed of 7 m/s and 3 m/s, respectively. With every meeting, they exchange their speed and they meet a total of 10 times. How much distance did Sagar cover in total?
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A and B start simultaneously at one end of a swimming pool whose length is 50 m. The swimming race is a race of 1000 m. If A beats B and meets him, 17 times during the course and A 's speed is 5 m/s, then the speed of B could be: 

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In the shooting of the movie 'AKS', Manu, the actor, is running towards a vertical mirror with a speed of 10 m/s on a line which is perpendicular to the plane of the mirror. The mirror is moving towards Manu with the speed of 6 m/s along the same line. Find the speed of Manu's image with respect to Manu (the image of Manu forms on the other side of the mirror such that the distance between the image of Manu and the mirror is equal to the distance between Manu and the mirror).
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A rabbit, a tortoise, and a mongoose decide to run a closed circuit race. If the rabbit overtakes the mongoose two times per round, with the second overtake being at the starting point and the mongoose overtakes the tortoise four times per round, the fourth overtake being at the starting point, then find the ratio of the speed of the rabbit to that of the tortoise.
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 Two friends A and B simultaneously start running around a circular track. They run in the same direction. A travels at 6 m/s and B runs at b m/s. If they cross each other at exactly two points on the circular track and b is a natural number less than 30, how many values can b take?
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My digital clock is peculiar. It counts 10 s of a normal clock as 1 min and 60 such minutes of itself as 1 h. It has also a display which shows the day. It was at par with the normal clock at 12 noon on Monday. At 3 pm of the same day (Actual time), I just read the time display of my weird clock. I read:

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Ram and Rahim left Bombay simultaneously towards Pune. Speed of Ram is 15 km/h and the speed of Rahim is 12 km/h. Half an hour later, Mohan started from Bombay towards Pune on the same road in the same direction. After some time, he overtook Rahim and 90 mins further, he overtook Ram. What is Mohan's speed?