Title 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