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A bus covered a distance of 160 km in 4 hrs covering a part of it at 30 kmph and the remaining at 70 much time did the us travel at 70 kmph?
Correct answer is '11/2'. Can you explain this answer?
Most Upvoted Answer
A bus covered a distance of 160 km in 4 hrs covering a part of it at ...
Understanding the Problem
To find out how long the bus traveled at 70 km/h, we first need to establish the distance covered at each speed. The total distance is 160 km, and the total time is 4 hours.
Defining Variables
- Let \( t_1 \) be the time spent traveling at 30 km/h.
- Let \( t_2 \) be the time spent traveling at 70 km/h.
We know from the problem:
- \( t_1 + t_2 = 4 \) hours
- The distance covered at each speed can be expressed as:
- Distance at 30 km/h = \( 30 \times t_1 \)
- Distance at 70 km/h = \( 70 \times t_2 \)
Setting Up the Equation
The total distance covered is 160 km, so we can write:
\[ 30t_1 + 70t_2 = 160 \]
Substituting for Time
From the first equation, we can express \( t_1 \) in terms of \( t_2 \):
\[ t_1 = 4 - t_2 \]
Now substitute \( t_1 \) in the distance equation:
\[ 30(4 - t_2) + 70t_2 = 160 \]
Expanding this gives:
\[ 120 - 30t_2 + 70t_2 = 160 \]
Combining like terms leads to:
\[ 120 + 40t_2 = 160 \]
Solving for \( t_2 \)
Now, isolate \( t_2 \):
\[ 40t_2 = 160 - 120 \]
\[ 40t_2 = 40 \]
\[ t_2 = 1 \]
Therefore, the time the bus traveled at 70 km/h is:
Final Answer
\[ t_2 = \frac{3}{2} \text{ hours} \text{ or } 1.5 \text{ hours} \]
Thus, the bus traveled for 1.5 hours at 70 km/h.
To find out how long the bus traveled at 70 km/h, we first need to establish the distance covered at each speed. The total distance is 160 km, and the total time is 4 hours.
Defining Variables
- Let \( t_1 \) be the time spent traveling at 30 km/h.
- Let \( t_2 \) be the time spent traveling at 70 km/h.
We know from the problem:
- \( t_1 + t_2 = 4 \) hours
- The distance covered at each speed can be expressed as:
- Distance at 30 km/h = \( 30 \times t_1 \)
- Distance at 70 km/h = \( 70 \times t_2 \)
Setting Up the Equation
The total distance covered is 160 km, so we can write:
\[ 30t_1 + 70t_2 = 160 \]
Substituting for Time
From the first equation, we can express \( t_1 \) in terms of \( t_2 \):
\[ t_1 = 4 - t_2 \]
Now substitute \( t_1 \) in the distance equation:
\[ 30(4 - t_2) + 70t_2 = 160 \]
Expanding this gives:
\[ 120 - 30t_2 + 70t_2 = 160 \]
Combining like terms leads to:
\[ 120 + 40t_2 = 160 \]
Solving for \( t_2 \)
Now, isolate \( t_2 \):
\[ 40t_2 = 160 - 120 \]
\[ 40t_2 = 40 \]
\[ t_2 = 1 \]
Therefore, the time the bus traveled at 70 km/h is:
Final Answer
\[ t_2 = \frac{3}{2} \text{ hours} \text{ or } 1.5 \text{ hours} \]
Thus, the bus traveled for 1.5 hours at 70 km/h.
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A bus covered a distance of 160 km in 4 hrs covering a part of it at ...
11/2 hs
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A bus covered a distance of 160 km in 4 hrs covering a part of it at 30 kmph and the remaining at 70 much time did the us travel at 70 kmph?Correct answer is '11/2'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A bus covered a distance of 160 km in 4 hrs covering a part of it at 30 kmph and the remaining at 70 much time did the us travel at 70 kmph?Correct answer is '11/2'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bus covered a distance of 160 km in 4 hrs covering a part of it at 30 kmph and the remaining at 70 much time did the us travel at 70 kmph?Correct answer is '11/2'. Can you explain this answer?.
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