Two buses start from the same spot for the same circular root . One is a BRTS bus returning in 35 minutes . The other is regular express bus taking 42 minutes to return . After how many minutes will they meet again at the same initial spot ?

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Solution

The time(minutes) in which they meet again=LCM of 35 and 42.
$35 = 5 \times 7$
$42 = 2 \times 3 \times 7$
Therefore $L C M = 5 \times 7 \times 2 \times 3 = 210$
Hence, they meet after 210 minutes.

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Two buses start from the same spot for the same circular root . One is a BRTS bus returning in 35 minutes . The other is regular express bus taking 42 minutes to return . After how many minutes will they meet again at the same initial spot ?

The time(minutes) in which they meet again=LCM of 35 and 42.35=5×742=2×3×7ThereforeLCM=5×7×2×3=210Hence, they meet after 210 minutes.

The time(minutes) in which they meet again=LCM of 35 and 42.
$35 = 5 \times 7$
$42 = 2 \times 3 \times 7$
Therefore $L C M = 5 \times 7 \times 2 \times 3 = 210$
Hence, they meet after 210 minutes.