Road distance from Jaipur to Ajmer is 135km. How long can one afford to stop for lunch if he can drive at an average speed of 72 kmph on the highway, if he has to reach in `2^(1//2) hr`

A cyclist covering a distance of 40 km would have reached 1 hour earlier, if he had run at an increased speed of 2 km/hr. His speed in (km/hr) was

A man can cover the distance of 60km in 6hrs. He covers some distance by foot at the average speed of 6kmph and the remaining distance by bicycle at the average speed of 12kmph, What distance would he travel on foot?

Ritesh drove at a speed of 60 km/h for 8 hours. For how many hours should he now drive at a speed of 80 km/h for the overall average speed to become 72 km/h?

An automobile driver travels from a plain to a hil station 120 km away at an average speed of 30 km per hour. He then makes the return trip at an average speed 25 km per hour. He covers another 120 km on the plain at an average speed of 50 km per hour. His average speed (in km/hr) over the entire distance of 360 km will be

A driver having a definite reaction time is capable of stopping his car over a distance of 30 m on seeing a red traffic signal, when the speed of the car is 72 km/hr andover a distance of 10 m when the speed is 36 km/hr. Find the distance over which he can stop the car if it were running at a speed of 54 km/hr. Assume that his reaction time and the deceleration of the car remains same in all the three cases.

If a young man drives his car at 40 km per hour, he has to spend ₹ 5 per km on petrol, if he drives it at a slower speed of 25 km per hour, the petrol cost decreases to ₹ 2 per km. He has ₹ 100 to spend on petrol and wishes to find thhe maximum distance he can travel within one hour.Express this as a linear programming problem and then solve it.

A, B and C are on a trip by car. A drives during the first hour at an average speed 50 "km"//"hr" . B drives during the next 2 hours at an average speed of 48 "km"//"hr" . A and C drives during the next 3 hours at an average speed of 52 "km"//"hr" and they reached the destination in 6 hours. Their mean speed is:

Samir drove at the speed of 45 km/hr from home to a resort. Returning over the same route he got stuck in traffic and took an hour longer. Also he could drive only at the speed of 40 km/hr. How many kilometres did he drive each way?

Air distance between Kota to Jaipur is 260 km and road distance is 320 km. A deluxe bus which moves from Jaipur to Kota takes 8 h while and aeroplane reaches in just 15 min. Find (i) average speed of bus in km/h (ii) average velocity of bus in km/h (iii) average speed of aeroplane in km/h (iv) average velocity of aeroplane in km/h