Average Speed and Relative Speed

A person travels equal distance with the speed of $3 \mathrm{kmph}$, $4 \mathrm{kmph}$ and $5 \mathrm{kmph}$ and takes a total time of $47 \min$. Find the total distance.

A motorist travels to a place $150 \mathrm{km}$ away at an average speed of $50 \mathrm{kmph}$ and returns at $30 \mathrm{kmph}$. His average speed for the whole journey in $\mathrm{kmph}$ is _____

A farmer travelled a distance of $61 \mathrm{km}$ in $9 \mathrm{hr}$. He travelled partly on foot with $4 \mathrm{km}/\mathrm{hr}$ and partly on bicycle with $9 \mathrm{km}/\mathrm{hr}$. The distance travelled on foot is:

रमेश 4 किमी. प्रति घण्टा की चाल से पैदल जाता है उसके 4 घण्टे के बाद दिनेश साइकिल द्वारा 10 किमी. प्रति घण्टा की चाल से उसका पीछा करता है तो बताओ दिनेश रमेश को कितनी दूरी पर पकड़ लेगा ?

A thief steals a car at $2.30$pm and drives it at $60$kmph. The theft is discovered at $3$pm and the owner sets off in another car at $75$ kmph when will he overtake the thief ?

मोहन, अनु को 30 मीटर या 10 सैकण्ड़ से हराता है तो मोहन द्वारा 1200 मीटर की दूरी की दौड़ को पूरा करने में कितना समय लगेगा?

The price of $20$ saress and $4$ shirts is ₹ $1600$. With the same money one can buy $1$ sarees and $6$ shirts. If one wants to buy $12$ shirts, how much shall one have to pay?

दो समान लम्बाई की रेलगाड़ियां समांतर रेखा में सामान दिशा में क्रमश: $92$ किमी/घंटा और $72$ किमी/घंटा की चाल से दौड़ती है l तेज गति वाली रेलगाड़ी धीमी गति वाली रेलगाड़ी को $54$ सेकंड में पार करती हैं l प्रत्येक रेलगाड़ी की लम्बाई ज्ञात करें |

Six pipes are fitted to a water tank. Some of these are filling pipes, others are emptying pipes. Each filling pipes can fill the tank in 9 hrs and each waste pipe can empty the tank in$6 \mathrm{hrs}$. On opening all the pipes in the empty tank is filled in $9 \mathrm{hrs}$. Find the number of filling pipes?

An article is listed at $65.$A customer bought this article for $56.16$ with two successive discounts of which one is $10\%$. The other discount of this discount scheme that was allowed by the shopkeeper is equal to_____.

A train leaves a station A at 7 am and reaches another station B at 11 am. Another train leaves B at 8 am and reaches A at 11.30. The two trains cross one another at

एक लड़का $4$ किमी./घण्टा की गति से चले तो वह $9$ मिनट देरी से स्कूल पहुंचता है यदि वह $5$ किमी./घण्टा की गति से चले तो $9$ मिनट जल्दी पहुंच जाता है उसके स्कूल तक की दूरी है ?

Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of $\frac{5}{2} \mathrm{km}/\mathrm{hr}$. and  Sarita at a speed of  $2 \mathrm{km}/\mathrm{hr}$, in how much time will they be $18 \mathrm{km}$apart?

If a man walks$20 \mathrm{km}$ at 5 km/hr he will be late by $40 \mathrm{minutes}$.If he walks at$8 \mathrm{km} \mathrm{per} \mathrm{hr}$.How early from the fixed time will he reach ?

A thief is noticed by a policeman from a distance of $200$m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of $10$km and $11$km per hour respectively. What is the distance between them after $6$minutes?

एक बस एक कार का पीछा कर रही है जो बस से 5 किमी.आगे  है। उनकी चाल क्रमशः 90 किमी/घंटा तथा 75 किमी/ घंटा  है। बस कार को कितने मिनट के पश्चात पकड़ लेगी?

There are two stations $\mathrm{X}$ and $\mathrm{Y}, 1320 \mathrm{km}$ apart. A train starts from station $\mathrm{X}$ at $6 \mathrm{a}.\mathrm{m}.$ and moves at an average speed of $60 \mathrm{km}/\mathrm{hr}$. At $2 \mathrm{p}.\mathrm{m}.$ another train starts from $\mathrm{Y}$ towards $\mathrm{X}$ and moves at an average speed of $80 \mathrm{km}/\mathrm{hr}$. When do they meet?

What is the angle between the hour hand and the minute hand of a clock when the clock shows $4$ hours $40$ minutes?

P, Q, R run on a circular track at speeds of $10 \mathrm{m}/\mathrm{s}$, $20 \mathrm{m}/\mathrm{s}$, $25 \mathrm{m}/\mathrm{s}$ respectively. If they start from the same point in the same direction at the same time and P covers $1 \mathrm{km}$ when they meet again for the first time at the starting point, then the total distance covered by Y (in $\mathrm{km}$) is?

Distance between two stations $\mathrm{x}$ and $\mathrm{y}$ is $778 \mathrm{km}$. A train covers the journey from $\mathrm{x}$ to $\mathrm{y}$ at a speed of $84 \mathrm{kmph}$ and returns to $\mathrm{x}$ with a speed of $56 \mathrm{kmph}$. Find the average speed of the train (in $\mathrm{kmph}$) for the whole journey.