An escalator installed at a new shopping mall operates at a speed of 90 feet per minute. The handrail of the escalator operates on a separate motor at a speed of 93 feet per minute. A person steps onto the escalator and, at the same time, grabs the handrail. Assuming that the person's hand and shoes do not move on the escalator in how many seconds will the person's hand have moved 0.25 foot more than the person's shoes?
Due to rush hour traffic, it takes Marcus twice as long to drive home from work as it does for him to drive to work. When he drives to work, his average speed is 50 miles per hour. When he drives home from work, his average speed is 25 miles per hour. If he spends a total of three hours in his car driving to and from work, how long is Marcus's commute one-way?
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Phil drives east from his home for 2 hours before realizing that he will run out of fuel in another 70 miles. Nevertheless, he drives for another 10 miles east before returning back home via the same route. If he drives at a constant speed throughout his journey and returns home with fuel left for another 10 miles, how much time does he take for his journey eastwards?
Ahmad drives from his house to his friend's house averaging 60 miles per hour. On the return trip, he averages 50 miles per hour. His total driving time is 11 hours. What is the distance, in miles, between Ahmad's house and his friend`s house?
If John travels to his school from his home at 2 km/hr he will be 15 minutes late. If he travels at 5 km/hr he will be 30 minutes early. Find the distance from his home to the school.
Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 6 more revolutions than gear P ?
John drives from Rome to Paris at 50mph on a particular route, and returns along the exact same route at 60mph. What is his average speed for the trip?
Shelby drives her scooter at a speed of 30 miles per hour if it is not raining, and 20 miles per hour if it is raining. Today she drove in the sun in the morning and in the rain in the evening, for a total of 16 miles in 40 minutes. How many minutes did she drive in the rain?
A jeep travels a distance of 100 km at a uniform speed. If the speed of the jeep is 5 kmph more, then it takes 1 hour less to cover the same distance. The original speed of the jeep is
An athlete is riding his bicycle along the boundaries of a square field starting from the corner point A. He reaches the corner point C located diagonally opposite to the starting point after riding for 30 minutes. If the speed of the athelete's bicycle is 8 km per hour, then what is the area of the field in square kilometers?
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