Mala jogs in the morning for 5 km 650 m and in the evening for 7 km 50 m. How much more does she jog in the evening?
The correct answer and explanation is:
To determine how much more Mala jogs in the evening than in the morning, we need to subtract the morning jogging distance from the evening jogging distance.
Step 1: Convert distances to a common unit
We are given the following distances:
- Morning jog: 5 km 650 m
- Evening jog: 7 km 50 m
Let’s first convert the distances to meters:
- 1 km = 1000 meters, so:
- Morning jog: 5 km+650 m=(5×1000)+650=5650 m5 \, \text{km} + 650 \, \text{m} = (5 \times 1000) + 650 = 5650 \, \text{m}
- Evening jog: 7 km+50 m=(7×1000)+50=7050 m7 \, \text{km} + 50 \, \text{m} = (7 \times 1000) + 50 = 7050 \, \text{m}
Step 2: Subtract the morning jog distance from the evening jog distance
Now, subtract the two distances:
- 7050 m−5650 m=1400 m7050 \, \text{m} – 5650 \, \text{m} = 1400 \, \text{m}
Step 3: Convert the result back to kilometers and meters
1400 meters is equal to:
- 1 km+400 m1 \, \text{km} + 400 \, \text{m}
So, Mala jogs 1 km 400 m more in the evening than in the morning.
Explanation
The process involved converting both the morning and evening jog distances into a consistent unit (meters). After that, we performed a simple subtraction to find the difference in the distances. This allowed us to calculate how much more Mala jogs in the evening compared to the morning jog. By converting the difference back into kilometers and meters, we obtained the final result of 1 km 400 m. This kind of problem involves basic unit conversion and subtraction, which are crucial steps in accurately determining differences between quantities in real-life scenarios like jogging distances.