Practise Time, Speed and Distance MCQs MCQs in Maths. Attempt multiple-choice questions, check answers and revise related subtopics.
Study Time, Speed and Distance MCQs through multiple-choice questions in Maths. This subtopic contains 295 practice questions. Read the wording carefully, compare the options and attempt an answer before checking the solution in learning mode.
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Answer: 80 km/hr
Explanation To find the average speed, divide the total distance by the total time: Average speed = Total distance ÷ Total time = 240 km ÷ 3 hr = 80 km/hr So, the bus's average speed is 80 km/hr .
Answer: 497 mm = 49.7 cm
Explanation 445 mm - 198 mm + 250 mm = ? Step 1: 445 - 198 = 247 mm Step 2: 247 + 250 = 497 mm Convert to cm: 497 mm = 49.7 cm
Answer: 7 hours and 51 minutes
Explanation To find the duration of the train journey , subtract the start time from the arrival time: Arrival time: 5:23 p.m. Start time: 9:32 a.m. Convert both times to a 24-hour clock : Arrival time: 17:23 (5:23 p.m.) Start time: 09:32 (9:32 a.m.) Subtract the start time from the arrival time: 17:23 - 09:32 = 7 hours 51 minutes Therefore, the train journey took 7 hours and 51 minutes.
Answer: 12 days
Explanation Let's solve step-by-step: - A’s rate = 1/15 work/day - B’s rate = 1/10 work/day Work done in the first 2 days (both A and B): (A + B) × 2 = (1/15 + 1/10) × 2 = (2/30 + 3/30) × 2 = (5/30) × 2 = (1/6) × 2 = 1/3 of the work. Remaining work after 2 days: 1 - 1/3 = 2/3 Time taken by A alone to complete the remaining work: Work = Rate × Time Time = Work / Rate = (2/3) / (1/15) = (2/3) × 15 = 10 days Total time to complete the work: 2 days (both working) + 10 days (A alone) = 12 days
Answer: 40 km/h
Explanation Time at original speed = 240 / x Time at increased speed = 240 / (x + 4) Given: 240/x - 240/(x + 4) = 0.5 Multiply through by x(x + 4) to eliminate denominators: 240(x + 4) - 240x = 0.5x(x + 4) 240x + 960 - 240x = 0.5x² + 2x 960 = 0.5x² + 2x Multiply both sides by 2: 1920 = x² + 4x x² + 4x - 1920 = 0 Solve the quadratic: x² + 4x - 1920 = 0 Using quadratic formula: x = [-4 ± √(16 + 7680)] / 2 x = [-4 ± √7696] / 2 √7696 ≈ 87.7 x ≈ (-4 + 87.7)/2 ≈ 83.7/2 ≈ 41.85 Approximate correct option is 40 km/h
Answer: 17
Explanation Let daughter's age = x Then father’s age = 47 - x 4 years ago: Father's age = 47 - x - 4 = 43 - x Daughter's age = x - 4 Given: Father was twice the daughter's age 4 years ago 43 - x = 2(x - 4) 43 - x = 2x - 8 43 + 8 = 3x ⇒ 51 = 3x ⇒ x = 17
Answer: 11:1
Explanation To solve this, we can start by expressing the given ratio m:n = 3:2 in terms of a variable, let's say x. So, m = 3x and n = 2x. Now, let's substitute these expressions into the given ratio (4m+5n):(4m-5n): (4(3x) + 5(2x)) : (4(3x) - 5(2x)) Expanding and simplifying, we get: (12x + 10x) : (12x - 10x) 22x : 2x Now, we can divide both terms by 2x to get: 11 : 1
Answer: 325
Explanation Given the speed of the car is 65 miles per hour: Step 1: Calculate the distance traveled in 5 hours. Distance = Speed × Time = 65 × 5 = 325
Answer: 75
Explanation Efficiency of A = 10/5 =2 Efficiency of B = 5/10 = 0.5 No of page typed by A in 30 min = 30 x 2 = 60 No of page typed B in 30 min = 30 x 0.5 = 15 total page together is 60 + 15 = 75
Answer: 42,000 cm
Explanation 187 m - 95 m + 328 m = 420 m 420 m = 420 × 100 = 42,000 cm
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