91Ó°ÊÓ

'A' goes 10 km distance with average speed of \(6 \mathrm{~km} / \mathrm{h}\) while rest \(20 \mathrm{~km}\) he travels with an average speed of \(15 \mathrm{~km} / \mathrm{h}\). What is the average speed of ' \(A\) ' during the whole journey? (a) \(10 \mathrm{~km} / \mathrm{h}\) (b) \(12 \mathrm{~km} / \mathrm{h}\) (c) \(13 \mathrm{~km} / \mathrm{h}\) (d) \(14.5 \mathrm{~km} / \mathrm{h}\)

A covers \(1 / 4\) th of his journey at \(20 \mathrm{~km} / \mathrm{h}\) and \(1 / 3 \mathrm{rd}\) of the rest at \(25 \mathrm{~km} / \mathrm{h}\) and half of the rest at \(30 \mathrm{~km} / \mathrm{h}\) and rest at the speed of \(40 \mathrm{~km} / \mathrm{h}\). What is the average speed of \(A\) ? (a) \(13 \frac{78}{89} \mathrm{~km} / \mathrm{h}\) (b) \(12 \mathrm{~km} / \mathrm{h}\) (c) \(26 \frac{86}{89} \mathrm{~km} / \mathrm{h}\) (d) \(28 \mathrm{~km} / \mathrm{h}\)

A person goes to his office at \(1 /\) 3rd of the speed at which he renurs from his office. If the average speed during the whole trip (i. \(e\), one round) is \(12 \mathrm{~km} / \mathrm{h}\). What is the speed of the person while he was going to his office? (a) 10 (b) 6 (c) 8 (d) can't be determined

A person P is at \(X\) and another persan \(Q\) is at \(Y .\) The distance between \(X\) and \(Y\) is I00 kn. The speed of \(P\) is \(20 \mathrm{~km} / \mathrm{h}\). While the speed of \(Q\) is \(60 \mathrm{~km} / \mathrm{h} ?\) If they continue to move to and fro between \(X\) and \(Y\) then what is the distance covered by \(P\) when they meet second time? (a) \(105 \mathrm{~km}\) (b) \(100 \mathrm{~km}\) (c) \(80 \mathrm{~km}\) (d) \(75 \mathrm{~km}\)

The speeds of Vimal and Kamal are \(30 \mathrm{~km} / \mathrm{h}\) and \(40 \mathrm{~km} / \mathrm{h}\). Initially Kamal is at a place \(L\) and Vimal is at a place \(M\). The distance between \(L\) and \(M\) is \(650 \mathrm{~km}\). Vimal started his journey 3 hours earlier than Kamal to meet each other. If they meet each other at a place \(P\) somewhere between \(L\) and \(M\), then the distance between \(P\) and \(M\) is: (a) \(220 \mathrm{~km}\) (b) \(250 \mathrm{~km}\) (c) \(330 \mathrm{~km}\) (d) \(320 \mathrm{~km}\)

A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speed is: a.1:16 b. 4:1 c. 2:1 d.2:8

Harsha takes 3 hours more than Ashok, who drives his car \(5 \mathrm{~km} / \mathrm{h}\) faster than Harsha drives, to cover \(180 \mathrm{~km}\) distance. What is the speed of Harsha? (a) \(12 \mathrm{~km} / \mathrm{h}\) (b) \(15 \mathrm{~km} / \mathrm{h}\) (c) \(30 \mathrm{~km} / \mathrm{h}\) (d) \(40 \mathrm{~km} / \mathrm{h}\)

A minibus takes 6 hours less to cover \(1680 \mathrm{~km}\) distance, if its speed is increased by \(14 \mathrm{~km} / \mathrm{h} ?\) What is the usual time taken by minibus? (a) \(15 \mathrm{~h}\) (b) \(24 \mathrm{~h}\) (c) \(25 \mathrm{~h}\) (d) \(30 \mathrm{~h}\)

A train \(350 \mathrm{~m}\) long is running at the speed of \(36 \mathrm{~km} / \mathrm{h}\). If it crosses a tunnel in 1 minute, then the length of the tunnel (in metres) is: (a) \(200 \mathrm{~m}^{--}\) (b) \(.50 \mathrm{~m}^{-}\) (c) \(150 \mathrm{~m}\) (d) none of these

If a \(250 \mathrm{~m}\) long train crosses a platform of the same length as that of the train in 25 seconds, then the speed of the train is : (a) \(150 \mathrm{~m} / \mathrm{s}\) (b) \(200 \mathrm{~m} / \mathrm{s}\) (c) \(20 \mathrm{~km} / \mathrm{h}\) (d) \(72 \mathrm{~km} / \mathrm{h}\)