Walking 3/4th of her normal speed, Athira is 15 minutes late in reaching her office. What is the usual time taken by her to cover the distance between - Quantitative Aptitude MCQ Competitive Exams 2026 | ExamTest.live

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Walking \frac{3}{4} th of her normal speed, Athira is 15 minutes late in reaching her office. What is the usual time taken by her to cover the distance between her home and office?

Solution & Step-by-step Explanation

Let the usual speed be S and the usual time be T . Since Distance = Speed \times Time remains constant, speed and time are inversely proportional to each other. New Speed = \frac{3}{4} S ⟹ New Time = \frac{4}{3} T Given that she is 15 minutes late: New Time - Usual Time = 15 minutes \frac{4}{3} T - T = 15 \frac{1}{3} T = 15 ⟹ T = 15 \times 3 = 45 minutes Thus, the usual time taken is 45 minutes .

Try it yourself before checking the explanation above.

Walking \frac{3}{4} th of her normal speed, Athira is 15 minutes late in reaching her office. What is the usual time taken by her to cover the distance between her home and office?

48 minutes

35 minutes

44 minutes

45 minutes

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