Taimoor walked to school at 6 am at 2 kmph. Finding it closed, he returned home at 3 kmph, arriving at 9 am. Find the distance between his home and school.
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Answer: D. 3.6 km
Explanation
Walking distance divided by outward speed gives the time taken to reach the school. Walking the same distance divided by return speed gives the time taken to return home. Summing both travel times equals three hours which solves to distance of three point six kilometers. Distance equals the product of speed multiplied by the total elapsed travel time duration. Summing fractional travel times requires finding a common denominator for algebraic equation solving. Solving the linear equation d divided by two plus d divided by three yields total distance.
Commuter travel problems help analyze average journey speeds across variable traffic conditions daily. Understanding relative travel times assists in planning daily schedules and transportation logistics effectively. Distance speed and time formulas form the foundational basis for advanced physics and kinematics. Option A suggests two point five kilometers which fails to satisfy the total time equation. Option B suggests seven point two kilometers which represents double the correct calculated distance value. Option C suggests seven kilometers which does not divide evenly by the given speeds.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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