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Nội dung text 9. Application to problems based on time and speed.pdf

APPLICATION TO PROBLEMS BASED ON TIME AND SPEED PAIR OF LINEAR EQUATIONS IN TWO VARIABLES 03 Class 10th Mathematics (Practice Sheet) 1 Two cars, A and B, start from points 150km apart on a highway. Car A travels at a speed of 70km/hr, and car B travels at a speed of 50km/hr. If they travel in the same direction, when will they meet? A. 4 hours B. 5 hours C. 6 hours D. 7 hours 2 A boat can travel 18km downstream in 1.5 hours and 12km upstream in 1 hour. Determine the speed of the boat in still water and the speed of the river current. A. Boat speed in still water = 6km/hr, River current speed = 4km/hr B. Boat speed in still water = 8km/hr, River current speed = 2km/hr C. Boat speed in still water = 5km/hr, River current speed = 3km/hr D. Boat speed in still water = 7km/hr, River current speed = 2km/hr 3 Two swimmers, Carol and David, swim in a river. Carol can swim at a speed of 5 km/hr in still water, and David can swim at a speed of 6 km/hr in still water. If they swim in the same direction, what is their relative speed? A. 9km/hr B. 11km/hr C. 1km/hr D. 30km/hr 4 A cyclist rides 40 km with the wind in 2 hours and returns the same distance against the wind in 3 hours. Find the cyclist's speed in still air and the speed of the wind. A. Cyclist's speed in still air = 16km/hr, Wind speed = 4km/hr B. Cyclist's speed in still air = 20km/hr, Wind speed = 5km/hr C. Cyclist's speed in still air = 15km/hr, Wind speed = 3km/hr D. Cyclist's speed in still air = 18km/hr, Wind speed = 6km/hr 5 If the speed of boat is 5 km/hr and speed of stream is 2 km/hr. What is the speed of the boat in upstream? A. 5km/hr B. 2km/hr C. 7km/hr D. 3km/hr 6 A man walks a certain distance with a certain speed. If he walks 1 2 km an hour faster, he takes 1 hour less. But, if he walks 1km an hour slower, he takes 3 more hours. Find the distance covered by the man and his original rate of walking. 7 Ritu can row downstream 20km in 2 hours, and upstream 4km in 2 hours. Find her speed of rowing in still water and the speed of the current. 8 A person rowing at the rate of 5km/h in still water takes thrice as much as time to go 40km upstream as in going 40km downstream. Find the speed of the stream. Page 1 Email: Phone No: Website: [email protected] +91 93299 65211 www.brisklearning.com Address: Office No. 605, CTS No. 658, Gayatri Bhuvan, A & B, Kandivali, Dattani Park, Thakur Village, Kandivali East, Mumbai, Maharashtra 400101

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