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An asteroid is travelling towards the moon at the speed of 4,80,000 km/day. A scientist decided to intercept the asteroid with a nuclear missile from one of the moon stations. The speed of the missile is 1,000 km/hr. At present, the asteroid is at a distance of 970000 km from the moon. For safety, the explosion must take place at least a distance of 10,000 km from the moon. The scientist is yet to install a missile. At maximum, how many hours does he have to complete the installation and launch the missile?

 
38 hours
38.5 hours
48 hours
10 hours
58 hours

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Where is the relative speed concept?