A cyclist after travelling a certain distance stopped for 30 minutes to repair the cycle. Then he completed the whole journey of 30 km at half speed and took a total time of 5 hours. If the breakdown has occurred 10 km further off, he would have completed the whole journey in 4 hours. Find where the breakdown occurred and his original speed.

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

A train covers a distance of 90 km at a uniform speed. Had the speed be 15 km/ hour more, it would have taken half an hour less for the journey. Find the original speed of the train.

A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/h, it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.

A motor boat whose speed is 15 km/hour in still water goes 30 km downstream and comes back in a total time of 4 hours 30 minutes. Find the speed of the stream.

A man walks a certain distance at a certain speed. Had he walked 1/2 km/hrfaster, he would have, taken 1 hour less. But if he had gone 1 km/hr slower, he would have taken 3 hours more. Find the distance.

A man has to walk a certain distance. He finds that if he walked 1/4 of a km an hour faster he will take 20 minutes less, but if he walks 1/2 km an hour slower he will take 52 minutes more. Find the distance and his rate of walking.

After covering a distance of 30 km with a uniform speed there is some defect in a train engine and, therefore, its speed is reduced to 4/5 of its original speed. Consequently, the train reaches its destination late by 45 minutes. Had it happened after covering 18 kilometres more, the train would have reached 9 minutes earlier. Find the speed of the train and the distance of journey.

A man would be 5 minutes late to reach his destination if he rides his bike at 30 km per hour.But he would be 10 minutes early if he rides at the speed of 40 km per hour.What is the distance of his destination from where he starts?

A man rides his motorcylcle at the speed of 50 km/hour. He has to spend Rs.2 per km on petrol. If the rides it as a faster speed of 80 km/hour, the petrol cost increases to Rs.3 per km. he has atmost Rs.120 to spend on petrol and one hour's time, He wishes to find the maximum distance that he can travel Express this problem as a linear programming problem and solve it graphically to find the maximum distance he can travel.