In a 300 m event, A triumphs over B by 22.5 m or 6 seconds. What is B's finishing time__________?
Show answer Hide answer
Answer: B. 80 sec
Explanation
The speed of runner B is determined by dividing the distance gap by the time difference. Runner B covers the 22.5 meter deficit in six seconds of running time. Dividing the total distance by B speed yields the final completion time of 80 seconds. Speed equals distance traveled divided by the total time taken to complete it. Runner B speed calculates as 22.5 meters divided by 6 seconds yielding 3.75 m/s. Total distance of the running event is precisely 300 meters long.
Race analysis in sports science relies on calculating split times and average velocities. Physics problems involving relative motion often use distance gaps to find individual speeds. Accurate timing measurements are critical in professional athletic competitions. Choosing 86 seconds adds the time difference incorrectly to the calculated duration. Choosing 76 seconds results from subtracting the time difference instead of dividing distance. Choosing none of these is incorrect because eighty seconds is a valid calculated option.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. If X covers 48m while Y covers 42m, by what distance does X defeat Y in a 1km race:_________?
Show answer Hide answer
Answer: B. 125m
The problem establishes a constant proportional rate of movement between the two runners over any given distance. Using the given distances, Y covers forty-two meters for every forty-eight meters that X successfully cove...
Q2. Solve equations I. x2 – x – 42 = 0 and II. y2 – 17y + 72 = 0 to determine x and y?
Show answer Hide answer
Answer: A. If x < y
The correct answer is x is less than y because all x roots are smaller than y roots. Solving equation one yields roots of positive seven and negative six. Solving equation two yields roots of positive eight and positive...
Q3. Rajan borrowed Rs. 4000 at 5% p.a. compound interest, paid Rs. 2210 after 2 years, and settled the rest 2 years later. What total interest did he pay?
Show answer Hide answer
Answer: A. Rs.635.50
Calculating the compound interest for the first two years gives the total accumulated debt before payment. Subtracting the partial payment of two thousand two hundred ten rupees leaves the remaining principal balance. Co...
Q4. Raees allocates 15% of his earnings to a fixed deposit and uses 30% of the remainder for groceries. If Rs. 2380 remains in cash, what is his salary?
Show answer Hide answer
Answer: B. Rs. 4000
Subtracting the initial fifteen percent allocation leaves eighty-five percent of the total salary intact. Taking thirty percent of this remaining eighty-five percent accounts for the grocery expenditure, leaving fifty-ni...
Q5. Rayyan bought a refrigerator and mobile for Rs. 15000 and Rs. 8000 respectively. He incurred a 4% loss on the fridge and a 10% profit on the phone. His overall outcome was a________?
Show answer Hide answer
Answer: D. profit of Rs. 200
The correct answer is a profit of two hundred rupees overall. A four percent loss on the fifteen thousand fridge equals a six hundred rupee loss. A ten percent profit on the eight thousand mobile equals an eight hundred...
Q6. In a 100 m event, A defeats B by 25 m and B defeats C by 4 m. By what margin does A defeat C in the same race:________?
Show answer Hide answer
Answer: C. 28 m
In a one hundred meter race, A runs the full distance while B runs seventy-five meters. In a separate comparison, B runs one hundred meters while C runs ninety-six meters. Multiplying these proportional ratios together d...